Abstract—In this paper, we investigate exact solutions of
time-fractional KdV equations by using generalized
Kudryashov method (GKM). The time-fractional KdV
equations can be reduced to nonlinear ordinary differential
equation by transformation. Subsequently, GKM has been
performed to obtain exact solutions of time-fractional KdV
equations and we attain some new solutions such as soliton
solutions and hyperbolic function solutions. Furthermore, we
note that this method is a generalized form of classical
Kudryashov Method.
Index Terms—Time-fractional KdV equations, generalized
kudryashov method, soliton solutions, hyperbolic function
solutions.
Hasan Bulut is with Mathematics Dept., Firat University, Elazig, 23119,
Turkey (e-mail: hbulut@firat.edu.tr).
Yusuf Pandir is with Mathematics Dept., Bozok University, Yozgat,
66100, Turkey (e-mail: yusufpandir@gmail.com).
Seyma Tuluce Demiray is with Mathematics Dept., Firat University,
Elazig, 23119, Turkey (e-mail: seymatuluce@gmail.com).
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Cite: Hasan Bulut, Yusuf Pandir, and Seyma Tuluce Demiray, "Exact Solutions of Time-Fractional KdV Equations by
Using Generalized Kudryashov Method," International Journal of Modeling and Optimization vol. 4, no. 4, pp. 315-320, 2014.
